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Thermalization and Hydrodynamics of Two-Dimensional Quantum Field Theories

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arxiv 2105.02229 v3 pith:4ZFKR4DF submitted 2021-05-05 hep-th cond-mat.stat-mechcond-mat.str-el

Thermalization and Hydrodynamics of Two-Dimensional Quantum Field Theories

Luca V. Delacretaz , A. Liam Fitzpatrick , Emanuel Katz , Matthew T. Walters This is my paper
classification hep-th cond-mat.stat-mechcond-mat.str-el
keywords boundhydrodynamicsmathcalquantumrelevantthermodynamicallowsassociated
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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We consider 2d QFTs as relevant deformations of CFTs in the thermodynamic limit. Using causality and KPZ universality, we place a lower bound on the timescale characterizing the onset of hydrodynamics. The bound is determined parametrically in terms of the temperature and the scale associated with the relevant deformation. This bound is typically much stronger than $\frac{1}{T}$, the expected quantum equilibration time. Subluminality of sound further allows us to define a thermodynamic $C$-function, and constrain the sign of the $\mathcal T\bar{\mathcal T}$ term in EFTs.

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Cited by 4 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

  1. Hydrodynamic tails in chaotic spin chains with quantum group symmetry

    cond-mat.stat-mech 2026-06 unverdicted novelty 7.0

    Quantum group symmetry enables superdiffusive hydrodynamic tails for transverse spin operators in chaotic XXZ-like models despite lacking local quantum group charges.

  2. Local Thermalization of SU(2) Lattice Gauge Fields on Quantum Computers

    hep-lat 2026-03 unverdicted novelty 7.0

    Quantum hardware simulation of SU(2) lattice gauge thermalization matches classical extrapolations up to 101 plaquettes after error mitigation, establishing feasibility for chaotic quantum field systems.

  3. Local Thermalization of SU(2) Lattice Gauge Fields on Quantum Computers

    hep-lat 2026-03 conditional novelty 6.0

    Error-mitigated IBM quantum hardware reproduces extrapolated classical simulations of entanglement growth and local thermalization for a truncated SU(2) gauge theory on chains up to 101 plaquettes.

  4. Boulder Lectures on Thermal Dynamics and Hydrodynamic EFTs

    hep-th 2026-06 unverdicted novelty 2.0

    Lectures summarizing the construction of hydrodynamic EFTs through strong-to-weak symmetry breaking, with examples from spin chains to relativistic QFTs and UV/IR constraints on transport coefficients.